Paper Info
Title
Three-way group decision making based on multigranulation fuzzy decision-theoretic rough set over two universes.
Abstract
Decision-theoretic rough set provides a new perspective to handle decision-making problems under uncertainty and risk. The three-way decision theory proposed by Yao is based on rough set theory and is a natural extension of the classical two-way decision approach. In this paper, we introduce the idea of decision-theoretic rough set into multigranulation approximation space and explore the rough approximation of a fuzzy decision object under the framework of two universes. We construct a variable precision multigranulation fuzzy decision-theoretic rough set over two universes by using the concept of an arbitrary binary fuzzy relation class between two different universes and the probability measurement of a fuzzy event. Several interesting properties of the proposed model are addressed and the decision rules are also deduced using the concept of three-way decision-making over two universes. Moreover, two special types of optimistic and pessimistic models are given by using different precision parameters. We then present a new approach to multiple criteria group decision making problems, based on variable precision multigranulation fuzzy decision-theoretic rough set over two universes. Meanwhile, we establish a cost-based method for sorting among all alternatives of group decision-making problems. Finally, an example of handling a medical diagnosis problem illustrates this approach. A new multigranulation fuzzy decision-theoretic rough set over two universes was defined.The relationship between the proposed model with the existing decision-theoretic rough set models was established.The three-way decision was deduced based on the multigranulation fuzzy decision-theoretic rough set over two universes.Multigranulation fuzzy decision-theoretic rough set-based three-way group decision making method was established over two universes.
Year
DOI
Venue
2017
10.1016/j.ijar.2016.11.001
Int. J. Approx. Reasoning
Keywords
Field
DocType
Three-way decisions,Rough set over two universes,Fuzzy rough set,Decision-theoretic rough set,Multigranulation,Group decision making
Decision rule,Discrete mathematics,Fuzzy logic,Rough set,Sorting,Decision theory,Mathematics,Dominance-based rough set approach,Group decision-making,Binary number
Journal
Volume
Issue
ISSN
81
C
0888-613X
Citations 
PageRank 
References 
57
0.93
53
Authors
3
Name
Order
Citations
PageRank
Bingzhen Sun169631.92
Weimin Ma242726.76
Xia Xiao3570.93